Difference between revisions of "Manuals/calci/FDIST"
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| − | <div style="font-size:30px">'''FDIST( | + | <div style="font-size:30px">'''FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)'''</div><br/> |
| − | *<math> | + | *<math>Number</math> is the value of the function |
| − | *<math> | + | *<math>DegreeOfFreedom1</math> and <math>DegreeOfFreedom21</math> are numbers of degrees of freedom. |
==Description== | ==Description== | ||
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*This distribution is continuous probability distribution and it is called Fisher-Snedecor distribution. | *This distribution is continuous probability distribution and it is called Fisher-Snedecor distribution. | ||
*The F distribution is an asymmetric distribution that has a minimum value of 0, but no maximum value. | *The F distribution is an asymmetric distribution that has a minimum value of 0, but no maximum value. | ||
| − | *In <math>FDIST( | + | *In <math>FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2), Number </math> is the value of the function ,<math>DegreeOfFreedom1</math> is the numerator degrees of freedom and <math>DegreeOfFreedom2</math> is the denominator degrees of freedom. |
*This distribution is the ratio of two chi-square distributions with degrees of freedom r1 and r2, respectively, where each chi-square has first been divided by its degrees of freedom. | *This distribution is the ratio of two chi-square distributions with degrees of freedom r1 and r2, respectively, where each chi-square has first been divided by its degrees of freedom. | ||
*The Probability density function of the F distribution is: | *The Probability density function of the F distribution is: | ||
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<math>0<x<\infty</math> where <math>\Gamma</math> is the Gamma Function. | <math>0<x<\infty</math> where <math>\Gamma</math> is the Gamma Function. | ||
*The gamma function is defined by <math>\Gamma(t) = \int\limits_{0}^{\infty} x^{t-1} e^{-x} dx</math>. | *The gamma function is defined by <math>\Gamma(t) = \int\limits_{0}^{\infty} x^{t-1} e^{-x} dx</math>. | ||
| − | When the value of | + | When the value of DegreeOfFreedom1 and DegreeOfFreedom2 are not integers ,then it is converted in to integers. |
*This function will give the result as error when | *This function will give the result as error when | ||
1. any one of the argument is non-numeric. | 1. any one of the argument is non-numeric. | ||
| − | 2. <math> | + | 2. <math>Number</math> is negative |
| − | 3. <math> | + | 3. <math>DegreeOfFreedom11</math> or <math>DegreeOfFreedom2<1</math> and <math>DegreeOfFreedom1</math> or <math>DegreeOfFreedom2\ge 10^{10}</math> |
==ZOS== | ==ZOS== | ||
Revision as of 15:49, 14 June 2018
FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)
- is the value of the function
- and are numbers of degrees of freedom.
is the value of the function
and 
are numbers of degrees of freedom.Description
- This function gives the value of F probability distribution.
- This distribution is continuous probability distribution and it is called Fisher-Snedecor distribution.
- The F distribution is an asymmetric distribution that has a minimum value of 0, but no maximum value.
- In is the value of the function , is the numerator degrees of freedom and is the denominator degrees of freedom.
- This distribution is the ratio of two chi-square distributions with degrees of freedom r1 and r2, respectively, where each chi-square has first been divided by its degrees of freedom.
- The Probability density function of the F distribution is:
is the value of the function ,
is the denominator degrees of freedom.where is the Gamma Function.
^{\tfrac {r_{1}}{2}}}{\Gamma ({\frac {r_{1}}{2}})\Gamma ({\frac {r_{2}}{2}})}}*{\frac {(x)^{{\tfrac {r_{1}}{2}}-1}}{({\frac {1+r_{1}x}{r_{2}}})^{\tfrac {r_{1}+r_{2}}{2}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/png/bf128c19052b2d77e9867508e60f25c553dfee41)
where 
is the Gamma Function.
- The gamma function is defined by .
.When the value of DegreeOfFreedom1 and DegreeOfFreedom2 are not integers ,then it is converted in to integers.
- This function will give the result as error when
1. any one of the argument is non-numeric. 2. is negative 3. or and or
or 
and 
ZOS
- The syntax is to find FDIST in ZOS is .
- is the value of the function.
- For e.g.,FDIST(85.2,22,18)
- FDIST(67..70,6,8)
.
Examples
- =FDIST(20.6587,7,3) = 0.01526530981
- =FDIST(70.120045,12.2,6.35) = 0.000011229898
- =FDIST(10,1.3,1.5) = 0.134947329626
- =FDIST(-28,4,6) = NAN
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See Also
References